Greatest Common Factor of 257/77, 763/11, 860/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 257/77, 763/11, 860/201

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 257/77,763/11,860/201

Given fractions are 257/77,763/11,860/201

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 257,763,860

Greatest Common Factor of Numerators i.e. GCF of 257,763,860 is 1 .

LCM of Denominators means LCM of 77,11,201 as per the given fractions.

LCM of 77,11,201 is 15477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,763,860

GCF of Fractions 257/77,763/11,860/201 is 1/15477

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 257,763,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,763,860 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 257,763,860 . The biggest common factor number is the GCF number.
So the greatest common factor 257,763,860 is 1.

Lets's calculate LCM of 77,11,201

11 77, 11, 201
7, 1, 201

∴ So the LCM of the given numbers is 11 x 7 x 1 x 201 = 15477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15477

Therefore, the GCF of Fractions 257/77,763/11,860/201 is 1/15477

Least Common Multiple of 77,11,201 with GCF Formula

Least Common Multiple of 77,11,201 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 77,11,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,11,201) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,11,201) x common factors =1 x 11 = 11

LCM(77,11,201) = ( 77 × 11 × 201 ) / 11

LCM(77,11,201) = 170247 / 11

LCM(77,11,201) = 15477


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 257/77, 763/11, 860/201

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 257/77, 763/11, 860/201?

Answer: GCF of Numerators as per given numbers 257/77, 763/11, 860/201 is

GCF of Numerators i.e. for 257,763,860 is 1

LCM of denominators i.e. for 77,11,201 is 15477.

Thus, GCF of Fractions is 1/15477.Finally, GCF of Fractions for 257/77, 763/11, 860/201 is 1/15477.